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331221230222249 is a prime number
BaseRepresentation
bin100101101001111100111001…
…1110001001111101110101001
31121102202102220000202111020102
41023103321303301033232221
5321403212034414102444
63132240533233235145
7126523641566610113
oct11323716361175651
91542672800674212
10331221230222249
11965a01535a4894
1231194a87a02ab5
13112a8049650043
145bb129bb4c3b3
152845c5709984e
hex12d3e73c4fba9

331221230222249 has 2 divisors, whose sum is σ = 331221230222250. Its totient is φ = 331221230222248.

The previous prime is 331221230222227. The next prime is 331221230222273. The reversal of 331221230222249 is 942222032122133.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 316098814772224 + 15122415450025 = 17779168^2 + 3888755^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-331221230222249 is a prime.

It is not a weakly prime, because it can be changed into another prime (331221230222279) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 165610615111124 + 165610615111125.

It is an arithmetic number, because the mean of its divisors is an integer number (165610615111125).

Almost surely, 2331221230222249 is an apocalyptic number.

It is an amenable number.

331221230222249 is a deficient number, since it is larger than the sum of its proper divisors (1).

331221230222249 is an equidigital number, since it uses as much as digits as its factorization.

331221230222249 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 124416, while the sum is 38.

The spelling of 331221230222249 in words is "three hundred thirty-one trillion, two hundred twenty-one billion, two hundred thirty million, two hundred twenty-two thousand, two hundred forty-nine".